Given:
Here the eccentricity and directrix are 1 and -1/3 respectively of parabola .
Required:
We have to construct a polar equation for the parabola
Step-by-step explanation:
Formula to construct the polar equation is
![\Gamma=(ep)/(1+ecos\emptyset)](https://img.qammunity.org/2023/formulas/mathematics/college/b1icbmyvn6ovtrb97nnp7p7o9s20mwdvnu.png)
![\Gamma=(1*(1)/(3))/(1+1cos\emptyset)](https://img.qammunity.org/2023/formulas/mathematics/college/k2ci0xjs9afe4uitqrykz6hkw17o65b89r.png)
![\Gamma=(1)/(3+3cos\emptyset)](https://img.qammunity.org/2023/formulas/mathematics/college/qc85igeur6lbz7v7gktn3zoa9m2b8k11cd.png)
Final answer:
![\Gamma=(1)/(3+3cos\emptyset)](https://img.qammunity.org/2023/formulas/mathematics/college/qc85igeur6lbz7v7gktn3zoa9m2b8k11cd.png)
is the polar equation for given information.